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A123614 Column 4 of triangle A123610. 5
1, 5, 39, 175, 618, 1764, 4420, 9900, 20439, 39325, 71603, 124215, 207076, 333200, 520272, 790704, 1173805, 1705725, 2432375, 3409175, 4704846, 6400900, 8596484, 11407500, 14972643, 19452069, 25034835, 31936975, 40410504, 50740800, 63257408, 78330560 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-4,-4,12,-12,4,12,-22,12,4,-12,12,-4,-4,4,-1).

FORMULA

G.f.: P_4(x) / ((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2), with P_4(1) = 7!, where P_4(x) = (1+3*x+28*x^2+94*x^3+240*x^4+440*x^5+679*x^6+839*x^7+ 887*x^8+757*x^9+550*x^10+314*x^11+148*x^12+48*x^13+11*x^14+x^15).

MATHEMATICA

CoefficientList[Series[(1 + 3*x + 28*x^2 + 94*x^3 + 240*x^4 + 440*x^5 + 679*x^6 + 839*x^7 + 887*x^8 + 757*x^9 + 550*x^10 + 314*x^11 + 148*x^12 + 48*x^13 + 11*x^14 + x^15)/((1 - x)^2*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)^2), {x, 0, 50}], x] (* G. C. Greubel, Oct 16 2017 *)

PROG

(PARI) {a(n)=polcoeff(truncate(Ser([1, 3, 28, 94, 240, 440, 679, 839, 887, 757, 550, 314, 148, 48, 11, 1]))/ ((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2 +x*O(x^n)), n)}

CROSSREFS

Cf. A123610 (triangle); columns: A005997, A123613, A123615, A123616.

Sequence in context: A183477 A219086 A064445 * A218918 A075135 A202391

Adjacent sequences:  A123611 A123612 A123613 * A123615 A123616 A123617

KEYWORD

nonn,easy

AUTHOR

Paul D. Hanna, Oct 03 2006

STATUS

approved

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Last modified December 5 18:51 EST 2019. Contains 329768 sequences. (Running on oeis4.)